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Finding the Fourth Proportional to 11,782.29, 17,673.59 and 3,016.98

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Solution

The fourth proportional to 11,782.29, 17,673.59 and 3,016.98 is: 4,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.29 : 17,673.59 = 3,016.98 : x
  2. Step 2: Convert to fraction form
    11,782.29/17,673.59 = 3,016.98/x
  3. Step 3: Cross multiply
    11,782.29x = 17,673.59 × 3,016.98
  4. Step 4: Simplify right side
    11,782.29x = 53,320,875.10
  5. Step 5: Solve for x
    x = 53,320,875.10/11,782.29
  6. Step 6: Final answer
    x = 4,525.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.